Question

the radius of a sphere is increasing at a rate of 2 mm/s. how fast is the volume increasing (in mm3/s) when the diameter is 100 mm? (round your answer to two decimal places.) mm3/s

Answer 1

V = (4/3)πr³

dV = 4πr²dr

= 4π(50²)(2)

= 20,000π mm³/s

= about 62,831.85 mm³/s